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Linear transforms supporting circular convolution over a commutative ring with identity

Mohamed Mounir Nessibi (1995)

Commentationes Mathematicae Universitatis Carolinae

We consider a commutative ring R with identity and a positive integer N . We characterize all the 3-tuples ( L 1 , L 2 , L 3 ) of linear transforms over R N , having the “circular convolution” property, i.eṡuch that x * y = L 3 ( L 1 ( x ) L 2 ( y ) ) for all x , y R N .

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